User:
Divide fractions

# Divide fractions by whole numbers

Dividing by a fraction is the same as multiplying by its reciprocal.

Divide $\frac{4}{9}\div4\;$. Simplify your answer and write it as a proper fraction or as a whole or mixed number.

Write 4 as an improper fraction

$4=\frac{4}{1}\;$

Turn this from a division problem into a multiplication problem by multiplying by the reciprocal.

$\frac{4}{9}\div\frac{4}{1}=\frac{4}{9}\cdot\frac{1}{4}\;$

Cancel common factors, then multiply.

$\frac{4}{9}\cdot\frac{1}{4}=\frac{1}{9}\cdot\frac{1}{1}\;$

$=\frac{1\cdot1}{9\cdot1}$

$=\frac{1}{9}$

Divide $\frac{5}{4}\div$5
 Solution:

Simplify your answer and write it as a proper fraction or as a whole or mixed number.